9851313168 has 120 divisors (see below), whose sum is σ = 28019590560. Its totient is φ = 3230599680.

The previous prime is 9851313167. The next prime is 9851313179. The reversal of 9851313168 is 8613131589.

It is a happy number.

It is a super-2 number, since 2×9851313168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9851313167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702355 + ... + 2705997.

It is an arithmetic number, because the mean of its divisors is an integer number (233496588).

Almost surely, 2^9851313168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9851313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009795280).

9851313168 is an abundant number, since it is smaller than the sum of its proper divisors (18168277392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9851313168 is a wasteful number, since it uses less digits than its factorization.

9851313168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3948 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 9851313168 is about 99253.7816307268. The cubic root of 9851313168 is about 2143.7034575847.

The spelling of 9851313168 in words is "nine billion, eight hundred fifty-one million, three hundred thirteen thousand, one hundred sixty-eight".